Question

Find the simplified form of the expression. Give your answer in scientific notation.

Answer 1

a

Answer 2

b

Answer 3

c

Answer 4

d

Answer 5

this is multiplying 4 numbers
\[ 3\cdot 10^{-6} \cdot 6 \cdot 10^{-8} \]
when multiplying you can change the order, right? example 2*3 = 3*2
that means this is the same as
\[ 3\cdot 6 \cdot 10^{-6} \cdot 10^{-8} \]
can you multiply 3*6?
what about
\[10^{-6} \cdot 10^{-8} \]? (You add exponents)

Answer 6

im still alittle lost

Answer 7

you do this in steps. First step is 3*6

Answer 8

so i wanna do 3*6=0.5?

Answer 9

3 times 6 is not 1/2

Answer 10

oh 3 x

Answer 11

18

Answer 12

?

Answer 13

c?

Answer 14

i got confused at what * ment!

Answer 15

ok, we started with
\[3\cdot 6 \cdot 10^{-6} \cdot 10^{-8}\]
we replace 3*6 with 18, so now it is
\[ 18 \cdot 10^{-6} \cdot 10^{-8}\]

can you multiply
\[10^{-6} \cdot 10^{-8}\]
The rule is add the exponents

Answer 16

so do 10 x 10 and then add the -6 and -8?

Answer 17

no. we can go into why it works this way.... but what you do is keep the 10 and just add the exponents...

Answer 18

ok

Answer 19

what is -6 - 8?

Answer 20

-12?

Answer 21

I remember -6-6 = -12

Answer 22

here is a reminder on how to do negative numbers
http://www.khanacademy.org/math/arithmetic/negative-numbers/v/adding-subtracting-negative-numbers